Cyclic Groups

Cyclic Groups

University

8 Qs

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Cyclic Groups

Cyclic Groups

Assessment

Quiz

Mathematics

University

Medium

Created by

Dr. Sr. Smitha Rose

Used 31+ times

FREE Resource

8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

The associative law holds in all groups

Yes

No

2.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Every subgroup of a cyclic group is cyclic

True

False

3.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

There may be a group in which the cancellationf law fails

True

False

4.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Every group is a subgroup of itself

True

False

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Every subset of every group is a subgroup under the induced operation

True

False

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A cyclic group has a unique generator

True

False

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In every cyclic group, every element is a generator

True

False

8.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Every cyclic group is abelian

True

False